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- W4320853849 abstract "Geophysicists have studied 3D Quasi-Geostrophic systems extensively. These systems describe stratified flows in the atmosphere on a large time scale and are widely used for forecasting atmospheric circulation. They couple an inviscid transport equation in $mathbb{R}_{+}timesOmega$ with an equation on the boundary satisfied by the trace, where $Omega$ is either $2D$ torus or a bounded convex domain in $mathbb{R}^2$. In this paper, we show the existence of global in time weak solutions to a family of singular 3D quasi-geostrophic systems with Ekman pumping, where the background density profile degenerates at the boundary. The proof is based on the construction of approximated models which combine the Galerkin method at the boundary and regularization processes in the bulk of the domain. The main difficulty is handling the degeneration of the background density profile at the boundary." @default.
- W4320853849 created "2023-02-16" @default.
- W4320853849 creator A5061720743 @default.
- W4320853849 date "2023-02-12" @default.
- W4320853849 modified "2023-09-29" @default.
- W4320853849 title "Global in Time Weak Solutions to Singular 3D Quasi-Geostrophic Systems" @default.
- W4320853849 doi "https://doi.org/10.48550/arxiv.2302.05973" @default.
- W4320853849 hasPublicationYear "2023" @default.
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